Pith Number

pith:CY3TD5FM

pith:2024:CY3TD5FM47BGE7C36YQWEYL73X

not attested not anchored not stored refs pending

Classification of Affinely Homogeneous Hessian Rank 2 Hypersurfaces S^3 in R^4

Joel Merker (LM-Orsay), Julien Heyd (LM-Orsay)

arxiv:2404.18565 v1 · 2024-04-29 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CY3TD5FM47BGE7C36YQWEYL73X}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Convergence of Normal Form Power Series for Infinite-Dimensional Lie Pseudo-Group Actions

Receipt and verification

First computed	2026-07-05T08:13:17.668702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

163731f4ace7c2627c5bf62162617fddd4700071b25d74192b386e12548bba41

Aliases

arxiv: 2404.18565 · arxiv_version: 2404.18565v1 · doi: 10.48550/arxiv.2404.18565 · pith_short_12: CY3TD5FM47BG · pith_short_16: CY3TD5FM47BGE7C3 · pith_short_8: CY3TD5FM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CY3TD5FM47BGE7C36YQWEYL73X \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 163731f4ace7c2627c5bf62162617fddd4700071b25d74192b386e12548bba41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d640cf746887d34500d7509fbb08d26cc4948affec37bdedca7789e847fb0636",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-04-29T10:12:12Z",
    "title_canon_sha256": "62b2799a6e920eea61b41206e52c40b1eb7cade3e73ac53ef4ef9b6bdeb6fc7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.18565",
    "kind": "arxiv",
    "version": 1
  }
}